COMPUTATIONAL ANALYSIS OF HIGHER- ORDER INTEGRO-DIFFERENTIAL EQUATIONS BY CANONICAL POLYNOMIAL BASIS FUNCTIONS
Keywords:
integral equations, canonical, Integro Differential Equations (IDEs)Abstract
This paper presents the computational analysis approach to the solution of higher order Integro- Differential Equations (IDES) via the canonical polynomial basis function. The canonical polynomial basis function generated by re-defining the differential part in operator form. The analytical results of the equations have been obtained in terms of convergent series with easily computable components. Two numerical examples were considered with the use of Mathematical Software (MATLAB 2009b) to illustrate the performance, efficiency and implementation of the method. Hence, the results showing the performance and effectiveness of the technique were
presented in tabular form. The technique has approachable better performance than variational iteration method when compared.
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